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Doppler Effect: This problem looks at wavelength shifts instead of frequency shifts. In
this problem, AX is defined as the difference between the wavelength in the observer's
frame and the source frame, and you can pick 2 to be equal to the wavelength in the
source frame.
a. Show that, for speeds u<<c, the Doppler shift can be written in the approximate
form A2/2 = u/c, and where u is the relative speed between the source and the
observer.
b.
If the source and observer are moving closer together, does the observer see a
higher wavelength or a lower wavelength?
c. If the source and observer are moving farther apart, does the observer see a
higher wavelength or a lower wavelength?
You can use the approximations
1
≈1-a
1+ a
√1+B
≈ +

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